5014502438400 has 1440 divisors, whose sum is σ = 22201259528448. Its totient is φ = 1052526182400.

The previous prime is 5014502438357. The next prime is 5014502438401. The reversal of 5014502438400 is 48342054105.

It is a happy number.

5014502438400 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 5 + 0 + 243 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5014502438401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2211954067 + ... + 2211956333.

Almost surely, 2^{5014502438400} is an apocalyptic number.

5014502438400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5014502438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100629764224).

5014502438400 is an abundant number, since it is smaller than the sum of its proper divisors (17186757090048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5014502438400 is a wasteful number, since it uses less digits than its factorization.

5014502438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 5014502438400 in words is "five trillion, fourteen billion, five hundred two million, four hundred thirty-eight thousand, four hundred".